A280116 Partial sums of A266265 (Product_{d|n} pod(d)).

1, 3, 6, 22, 27, 243, 250, 1274, 1355, 2355, 2366, 2988350, 2988363, 2991107, 2994482, 4043058, 4043075, 38055299, 38055318, 102055318, 102064579, 102075227, 102075250, 63403483040626, 63403483041251, 63403483058827, 63403483117876, 63403965008180

Offset

1,2

Comments

pod(n) is the product of the divisors of n (A007955).

Links

Table of n, a(n) for n=1..28.

Formula

a(n) = Sum_{i=1..n} A266265(i).

Mathematica

Accumulate@ Array[Product[Times @@ Divisors@ d, {d, Divisors@ #}] &, 28] (* Michael De Vlieger, Dec 26 2016 *)

Prog

(Magma) [&+[&*[&*[b: b in Divisors(d)]: d in Divisors(k)]: k in [1..n]]: n in [1..1000]]

Crossrefs

Cf. A007955, A175317, A266265, A280114 (partial sums of A175317), A280117 (partial products of A266265).

Sequence in context: A096662 A236056 A347616 * A295578 A054297 A325158

Adjacent sequences: A280113 A280114 A280115 * A280117 A280118 A280119

Keyword

nonn

Author

Jaroslav Krizek, Dec 26 2016

Status

approved